Document Type

Article

Department/Program

Physics

Journal Title

Physical Review A

Pub Date

8-1972

Publisher

American Physical Society

Volume

6

Issue

2

Abstract

The time-dependent equations of the classical picture of inelastic collisions (classical-trajectory equations) are derived using the momentum-space semiclassical approximation. Thereby it is shown that the classical-trajectory equations remain valid in the vicinity of classical turning points provided that (a) the momentum-space semiclassical approximation is valid, (b) the trajectories for elastic scattering in the various internal states differ only slightly, and (c) the slopes of the elastic scattering potentials have the same sign. A brief review of the existing derivations of the classical-trajectory equations is given, and the general conditions for their validity are discussed.

DOI

https://doi.org/10.1103/PhysRevA.6.720

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